Measurement of the $e^{+}e^{-} \to \eta J/\psi$ cross section and search for $e^{+}e^{-} \to \pi^{0} J/\psi$ at center-of-mass energies between 3.810 and 4.600~GeV
M. Ablikim, M. N. Achasov, X. C. Ai, O. Albayrak, M. Albrecht, D. J., Ambrose, A. Amoroso, F. F. An, Q. An, J. Z. Bai, R. Baldini Ferroli, Y. Ban,, D. W. Bennett, J. V. Bennett, M. Bertani, D. Bettoni, J. M. Bian, F. Bianchi,, E. Boger, O. Bondarenko, I. Boyko, R. A. Briere

TL;DR
This study measures the cross section of the process e+e- to eta J/psi at various energies between 3.81 and 4.60 GeV, observing significant signals around 4.2 GeV and improving precision over previous measurements.
Contribution
First precise measurement of e+e- to eta J/psi cross section across a broad energy range, confirming an enhancement near 4.2 GeV with improved accuracy.
Findings
Significant signals observed at specific energies around 4.2 GeV.
No signals detected for e+e- to pi0 J/psi.
Energy-dependent cross section shows enhancement near 4.2 GeV.
Abstract
Using data samples collected with the BESIII detector operating at the BEPCII collider at center-of-mass energies from 3.810 to 4.600 GeV, we perform a study of and . Statistically significant signals of are observed at = 4.190, 4.210, 4.220, 4.230, 4.245, 4.260, 4.360 and 4.420 GeV, while no signals of are observed. The measured energy-dependent Born cross section for shows an enhancement around 4.2~GeV. The measurement is compatible with an earlier measurement by Belle, but with a significantly improved precision.
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